SBFE analysis of surface loaded elastic layered media with influence of surface/interface energy. (1st May 2021)

• Record Type: Journal Article
• Authors: Van Nguyen, Chung; Chhuon, Chantha; Tangaramvong, Sawekchai; Bui, Tinh Quoc; Limkatanyu, Suchart; Rungamornrat, Jaroon
• Is Part Of: International journal of mechanical sciences. Volume 197(2021)
• Publication Date: 2021-05-01
• Subjects: SBFEM -- FG materials -- Gurtin-Murdoch surface elasticity -- Layered media -- Surface stresses -- Nano-layered media; Mechanical engineering -- Periodicals; Génie mécanique -- Périodiques; Mechanical engineering; Maschinenbau; Mechanik; Zeitschrift; Periodicals; 621.05
• DOI: 10.1016/j.ijmecsci.2021.106302
• Languages: English
• ISSNs: 0020-7403

Abstract

Highlights: SBFEM is developed for surface loaded multi-layered media with surface/interface effects. Both homogeneous and functionally graded bulk materials are considered. Surface and interface stress effects are simulated by Gurtin-Murdoch surface elasticity. Subdomain technique is applied to derive a set of SBFE governing equations. Obtained results demonstrate both accuracy and robustness of proposed technique. Abstract: A numerical technique, based upon a scaled boundary finite element (SBFE) method, is proposed for the analysis of a two-dimensional, infinite, elastic, layered medium under arbitrary surface loads and surface energy effects. The governing equations of the bulk layers and the material surface/interfaces were formulated from linear elasticity and Gurtin-Murdoch surface elasticity theories, respectively. The SBFE formulation was established in a general context to handle both homogenous and functionally graded bulk materials. Enforcing the continuity of the displacements and tractions along the material interfaces together with the surface/interface equations resulted in a system of non-homogeneous, linear, ordinary differential equations (ODEs) governing the unknown nodal functions of the layer medium. A general solution of the final system of ODEs was constructed via a standard procedure and then used to form a system of linear algebraic equations governing the nodal boundary data. To facilitate the treatment of surface loads over a finite region, the subdomain technique was applied to obtain the governing equations for the whole layered medium. A selected set of results is reported to demonstrate the accuracy, convergence, and performance of the proposed technique. Graphical abstracts: Image, graphical abstract